4878910866960 has 1280 divisors, whose sum is σ = 19634763294720. Its totient is φ = 1102770339840.

The previous prime is 4878910866889. The next prime is 4878910866979. The reversal of 4878910866960 is 696680198784.

4878910866960 is a `hidden beast` number, since 487 + 8 + 9 + 1 + 0 + 86 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3989296909 + ... + 3989298131.

It is an arithmetic number, because the mean of its divisors is an integer number (15339658824).

Almost surely, 2^{4878910866960} is an apocalyptic number.

4878910866960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4878910866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817381647360).

4878910866960 is an abundant number, since it is smaller than the sum of its proper divisors (14755852427760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4878910866960 is a wasteful number, since it uses less digits than its factorization.

4878910866960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 4878910866960 in words is "four trillion, eight hundred seventy-eight billion, nine hundred ten million, eight hundred sixty-six thousand, nine hundred sixty".